Abstract
We consider a one-parameter family of delay differential equations which has been proposed as a model for a prize and prove that at a critical parameter where the linearization at equilibrium has a double zero eigenvalue periodic solutions bifurcate off with periods descending from infinity.
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AMS Subject Classification. 34K18,34K13,37G15
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Walther, HO. Bifurcation of periodic solutions with large periods for a delay differential equation. Annali di Matematica 185, 577–611 (2006). https://doi.org/10.1007/s10231-005-0170-8
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DOI: https://doi.org/10.1007/s10231-005-0170-8